A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Quantifies how geodesic planes isolate in hyperbolic 3-manifolds.
Despite its empirical success and recent theoretical progress, there generally lacks a quantitative analysis of the effect of batch normalization (BN) on the convergence and stability of gradient descent. In this paper, we provide such an analysis on the simple problem of ordinary least squares (OLS). Since precise dyn…
In this article, we study the regularity of minimizing and stationary -harmonic maps between Riemannian manifolds. The aim is obtaining Minkowski-type volume estimates on the singular set , as opposed to the weaker and non quantitative Hausdorff dimension bo…
We decompose the evidence lower bound to show the existence of a term measuring the total correlation between latent variables. We use this to motivate our -TCVAE (Total Correlation Variational Autoencoder), a refinement of the state-of-the-art -VAE objective for learning disentangled representations, requiring n…
Myopic investors make suboptimal choices that benefit others, leading to market inefficiencies.
Word embedding models have become a fundamental component in a wide range of Natural Language Processing (NLP) applications. However, embeddings trained on human-generated corpora have been demonstrated to inherit strong gender stereotypes that reflect social constructs. To address this concern, in this paper, we propo…
The paper identifies all link projections with isolate-region number one.
There has been remarkable recent work in unpaired image-to-image translation. However, they're restricted to translation on single pairs of distributions, with some exceptions. In this study, we extend one of these works to a scalable multidistribution translation mechanism. Our translation models not only converts fro…
Viral zoonoses have emerged as the key drivers of recent pandemics. Human infection by zoonotic viruses are either spillover events -- isolated infections that fail to cause a widespread contagion -- or species jumps, where successful adaptation to the new host leads to a pandemic. Despite expensive bio-surveillance ef…
Trading affects grid frequency fluctuations, making them more extreme.
OrphicX generates causal explanations for GNNs by isolating latent causal factors.
Study of -structures with isolated singularities and bounded torsion.
New stability and isolation results for Einstein manifolds.
Map quandle orders to actions, characterize isolated orders, and prove no isolated right orders.
This paper presents a new insight into improving the performance of Stochastic Neighbour Embedding (t-SNE) by using Isolation kernel instead of Gaussian kernel. Isolation kernel outperforms Gaussian kernel in two aspects. First, the use of Isolation kernel in t-SNE overcomes the drawback of misrepresenting some structu…
Defines Perelman's functionals on manifolds with non-isolated conical singularities.
iMondrian forest combines isolation forest and Mondrian forest for better anomaly detection.
We investigate the face numbers of simplicial complexes with Buchsbaum vertex links, especially pseudomanifolds with isolated singularities. This includes deriving Dehn-Sommerville relations for pseudomanifolds with isolated singularities and establishing lower bound theorems when the singularities are also homological…
We explore the geometry of nonpositively curved spaces with isolated flats, and its consequences for groups that act properly discontinuously, cocompactly, and isometrically on such spaces. We prove that the geometric boundary of the space is an invariant of the group up to equivariant homeomorphism. We also prove that…
The Poincaré-Hopf theorem is extended to projective varieties with isolated singularities.
We define two types of local indices of a vector field at an isolated zero on the boundary, and prove Poincare-Hopf-type index theorems for certain vector fields on a compact smooth manifold which have only isolated zeros.
Study reveals GAGA phenomenon in Poisson cohomology for plane structures with isolated singularities.
Proves conditions for positive scalar curvature on certain manifolds with conical singularities.
We study the Euler obstruction of essentially isolated determinantal singularities (EIDS). The EIDS were defined by W. Ebeling and S. Gusein-Zade, as a generalization of isolated singularity. We obtain some formulas to calculate the Euler obstruction for the determinantal varieties with singular set an ICIS.
The paper builds complex hyperbolic 2-manifolds with isolated singularities.
The Poincaré-Hopf theorem is extended to projective varieties with isolated singularities.
Robert Bryant (Theorie des varietes minimales et applications, 1988, 154: 321-347) proved that an isolated singularity of a conformal metric of positive constant curvature on a Riemann surface is a conical one. Using Complex Analysis, we find all of the local models for an isolated singularity of a flat metric whose ar…
Study on solutions near isolated singularities in 6D Yamabe equation.
Two new scoring methods improve anomaly detection in Isolation Forest.
We study solutions to conformally invariant equations with isolated singularties.
The purpose of this erratum is to correct the proof of Theorem A.0.1 in the appendix to our article ``Hadamard spaces with isolated flats'' math.GR/0411232, which was jointly authored by Mohamad Hindawi, Hruska and Kleiner. In that appendix, many of the results of math.GR/0411232 about CAT(0) spaces with isolated flats…
New isolated geometric triangulations found in once-punctured torus bundles.
Proposes methods to improve interpretability of Isolation Forest for anomaly detection.
Score-based methods fail with isolated components and incorrect mixing proportions.
ABIForest improves anomaly detection using attention weights.
A new framework detects anomalies in structured data.
Paper develops a new local convexity condition for non-isolated minima in non-convex optimization.
Formula for sections on complex manifolds with non-isolated components.
A recent proposal of data dependent similarity called Isolation Kernel/Similarity has enabled SVM to produce better classification accuracy. We identify shortcomings of using a tree method to implement Isolation Similarity; and propose a nearest neighbour method instead. We formally prove the characteristic of Isolatio…
Per-pixel ground-truth depth data is challenging to acquire at scale. To overcome this limitation, self-supervised learning has emerged as a promising alternative for training models to perform monocular depth estimation. In this paper, we propose a set of improvements, which together result in both quantitatively and …
FuBIF enhances AD by using real-valued functions for more flexible anomaly detection.
Wavelet analysis reveals limitations in detecting multifractality in signals with isolated singularities.
This work briefly explores the possibility of approximating spatial distance (alternatively, similarity) between data points using the Isolation Forest method envisioned for outlier detection. The logic is similar to that of isolation: the more similar or closer two points are, the more random splits it will take to se…
Mahan Mitra (Mj) proved Cannon--Thurston maps exist for normal hyperbolic subgroups of a hyperbolic group. We prove that Cannon--Thurston maps do not exist for infinite normal hyperbolic subgroups of non-hyperbolic CAT(0) groups with isolated flats with respect to the visual boundaries. We also show Cannon--Thurston ma…
Constructs Kahler-Einstein metrics near isolated log canonical singularities.
To each isolated critical point of a smooth function on a 3-manifold we put in correspondence a tree (graph without cycles). We will prove that functions are topologically equivalent in the neighborhoods of critical points if and only if the corresponding trees are isomorphic. A complete topological invariant of functi…
Formula calculates homology groups of Milnor fibres for real hypersurface singularities.
We give a classification of non-removable isolated singularities for real analytic solutions of the prescribed mean curvature equation in Minkowski -space.